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Finding the Fourth Proportional to 11,920.95, 17,874.59 and 4,905.81

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Solution

The fourth proportional to 11,920.95, 17,874.59 and 4,905.81 is: 7,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.95 : 17,874.59 = 4,905.81 : x
  2. Step 2: Convert to fraction form
    11,920.95/17,874.59 = 4,905.81/x
  3. Step 3: Cross multiply
    11,920.95x = 17,874.59 × 4,905.81
  4. Step 4: Simplify right side
    11,920.95x = 87,689,317.84
  5. Step 5: Solve for x
    x = 87,689,317.84/11,920.95
  6. Step 6: Final answer
    x = 7,355.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.